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Finding the Third Proportional to 796,428 and 1,686,132

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Solution

The third proportional to 796,428 and 1,686,132 is: 3,569,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,428 : 1,686,132 = 1,686,132 : x
  2. Step 2: Convert to fraction form
    796,428/1,686,132 = 1,686,132/x
  3. Step 3: Cross multiply
    796,428x = 1,686,132 × 1,686,132
  4. Step 4: Simplify right side
    796,428x = 2,843,041,121,424
  5. Step 5: Solve for x
    x = 2,843,041,121,424/796,428
  6. Step 6: Final answer
    x = 3,569,740.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.